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Finding the Fourth Proportional to 138,580.54, 191,238.48 and 78,150.10

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Solution

The fourth proportional to 138,580.54, 191,238.48 and 78,150.10 is: 107,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,580.54 : 191,238.48 = 78,150.10 : x
  2. Step 2: Convert to fraction form
    138,580.54/191,238.48 = 78,150.10/x
  3. Step 3: Cross multiply
    138,580.54x = 191,238.48 × 78,150.10
  4. Step 4: Simplify right side
    138,580.54x = 14,945,306,335.85
  5. Step 5: Solve for x
    x = 14,945,306,335.85/138,580.54
  6. Step 6: Final answer
    x = 107,845.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.